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Finding the Fourth Proportional to 6,689.25, 9,192.54 and 5,427.63

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Solution

The fourth proportional to 6,689.25, 9,192.54 and 5,427.63 is: 7,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.25 : 9,192.54 = 5,427.63 : x
  2. Step 2: Convert to fraction form
    6,689.25/9,192.54 = 5,427.63/x
  3. Step 3: Cross multiply
    6,689.25x = 9,192.54 × 5,427.63
  4. Step 4: Simplify right side
    6,689.25x = 49,893,705.88
  5. Step 5: Solve for x
    x = 49,893,705.88/6,689.25
  6. Step 6: Final answer
    x = 7,458.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.